# Introduction

This page presents how LoLA do cope efficiently with the CTLCardinality examination face to the other participating tools. In this page, we consider «Surprise» models.

The next sections will show chart comparing performances in terms of both memory and execution time.The x-axis corresponds to the challenging tool where the y-axes represents LoLA' performances. Thus, points below the diagonal of a chart denote comparisons favorables to the tool while others corresponds to situations where the challenging tool performs better.

You might also find plots out of the range that denote the case were at least one tool could not answer appropriately (error, time-out, could not compute or did not competed).

# LoLA versus LTSMin

Some statistics are displayed below, based on 278 runs (139 for LoLA and 139 for LTSMin, so there are 139 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to LTSMin are shown (you may click on one graph to enlarge it).

Statistics on the executions | ||||||

LoLA | LTSMin | Both tools | LoLA | LTSMin | ||

All computed OK | 0 | 3 | 16 | Smallest Memory Footprint | ||

LoLA = LTSMin | — | — | 1 | Times tool wins | 102 | 37 |

LoLA > LTSMin | — | — | 105 | Shortest Execution Time | ||

LoLA < LTSMin | — | — | 14 | Times tool wins | 80 | 59 |

Do not compete | 0 | 0 | 0 | |||

Error detected | 0 | 0 | 0 | |||

Cannot Compute + Time-out | 3 | 0 | 0 |

On the chart below, denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than LTSMin,
denote cases where LoLA
computed less values than LTSMin,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and
denote the cases where at least one tool stated it could not compute a result or timed-out.

LoLA wins when points are below the diagonal, LTSMin wins when points are above the diagonal.

# LoLA versus Tapaal

Some statistics are displayed below, based on 278 runs (139 for LoLA and 139 for Tapaal, so there are 139 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to Tapaal are shown (you may click on one graph to enlarge it).

Statistics on the executions | ||||||

LoLA | Tapaal | Both tools | LoLA | Tapaal | ||

All computed OK | 0 | 3 | 35 | Smallest Memory Footprint | ||

LoLA = Tapaal | — | — | 10 | Times tool wins | 74 | 65 |

LoLA > Tapaal | — | — | 8 | Shortest Execution Time | ||

LoLA < Tapaal | — | — | 83 | Times tool wins | 65 | 74 |

Do not compete | 0 | 0 | 0 | |||

Error detected | 0 | 0 | 0 | |||

Cannot Compute + Time-out | 3 | 0 | 0 |

On the chart below, denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than Tapaal,
denote cases where LoLA
computed less values than Tapaal,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and
denote the cases where at least one tool stated it could not compute a result or timed-out.

LoLA wins when points are below the diagonal, Tapaal wins when points are above the diagonal.

# LoLA versus M4M.full

Some statistics are displayed below, based on 278 runs (139 for LoLA and 139 for M4M.full, so there are 139 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to M4M.full are shown (you may click on one graph to enlarge it).

Statistics on the executions | ||||||

LoLA | M4M.full | Both tools | LoLA | M4M.full | ||

All computed OK | 136 | 0 | 0 | Smallest Memory Footprint | ||

LoLA = M4M.full | — | — | 0 | Times tool wins | 136 | 0 |

LoLA > M4M.full | — | — | 0 | Shortest Execution Time | ||

LoLA < M4M.full | — | — | 0 | Times tool wins | 136 | 0 |

Do not compete | 0 | 0 | 0 | |||

Error detected | 0 | 0 | 0 | |||

Cannot Compute + Time-out | 0 | 136 | 3 |

On the chart below, denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than M4M.full,
denote cases where LoLA
computed less values than M4M.full,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and
denote the cases where at least one tool stated it could not compute a result or timed-out.

LoLA wins when points are below the diagonal, M4M.full wins when points are above the diagonal.

# LoLA versus M4M.struct

Some statistics are displayed below, based on 278 runs (139 for LoLA and 139 for M4M.struct, so there are 139 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to M4M.struct are shown (you may click on one graph to enlarge it).

Statistics on the executions | ||||||

LoLA | M4M.struct | Both tools | LoLA | M4M.struct | ||

All computed OK | 136 | 0 | 0 | Smallest Memory Footprint | ||

LoLA = M4M.struct | — | — | 0 | Times tool wins | 136 | 0 |

LoLA > M4M.struct | — | — | 0 | Shortest Execution Time | ||

LoLA < M4M.struct | — | — | 0 | Times tool wins | 136 | 0 |

Do not compete | 0 | 0 | 0 | |||

Error detected | 0 | 0 | 0 | |||

Cannot Compute + Time-out | 0 | 136 | 3 |

On the chart below, denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than M4M.struct,
denote cases where LoLA
computed less values than M4M.struct,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and
denote the cases where at least one tool stated it could not compute a result or timed-out.

LoLA wins when points are below the diagonal, M4M.struct wins when points are above the diagonal.

# LoLA versus ITS-Tools

Some statistics are displayed below, based on 278 runs (139 for LoLA and 139 for ITS-Tools, so there are 139 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to ITS-Tools are shown (you may click on one graph to enlarge it).

Statistics on the executions | ||||||

LoLA | ITS-Tools | Both tools | LoLA | ITS-Tools | ||

All computed OK | 77 | 0 | 28 | Smallest Memory Footprint | ||

LoLA = ITS-Tools | — | — | 0 | Times tool wins | 126 | 10 |

LoLA > ITS-Tools | — | — | 10 | Shortest Execution Time | ||

LoLA < ITS-Tools | — | — | 21 | Times tool wins | 103 | 33 |

Do not compete | 0 | 0 | 0 | |||

Error detected | 0 | 0 | 0 | |||

Cannot Compute + Time-out | 0 | 77 | 3 |

On the chart below, denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than ITS-Tools,
denote cases where LoLA
computed less values than ITS-Tools,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and
denote the cases where at least one tool stated it could not compute a result or timed-out.

LoLA wins when points are below the diagonal, ITS-Tools wins when points are above the diagonal.

# LoLA versus ITS-Tools.L

Some statistics are displayed below, based on 278 runs (139 for LoLA and 139 for ITS-Tools.L, so there are 139 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to ITS-Tools.L are shown (you may click on one graph to enlarge it).

Statistics on the executions | ||||||

LoLA | ITS-Tools.L | Both tools | LoLA | ITS-Tools.L | ||

All computed OK | 84 | 0 | 22 | Smallest Memory Footprint | ||

LoLA = ITS-Tools.L | — | — | 0 | Times tool wins | 125 | 11 |

LoLA > ITS-Tools.L | — | — | 11 | Shortest Execution Time | ||

LoLA < ITS-Tools.L | — | — | 19 | Times tool wins | 108 | 28 |

Do not compete | 0 | 0 | 0 | |||

Error detected | 0 | 0 | 0 | |||

Cannot Compute + Time-out | 0 | 84 | 3 |

On the chart below, denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than ITS-Tools.L,
denote cases where LoLA
computed less values than ITS-Tools.L,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and
denote the cases where at least one tool stated it could not compute a result or timed-out.

LoLA wins when points are below the diagonal, ITS-Tools.L wins when points are above the diagonal.

# LoLA versus GreatSPN

Some statistics are displayed below, based on 278 runs (139 for LoLA and 139 for GreatSPN, so there are 139 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to GreatSPN are shown (you may click on one graph to enlarge it).

Statistics on the executions | ||||||

LoLA | GreatSPN | Both tools | LoLA | GreatSPN | ||

All computed OK | 104 | 0 | 19 | Smallest Memory Footprint | ||

LoLA = GreatSPN | — | — | 0 | Times tool wins | 121 | 15 |

LoLA > GreatSPN | — | — | 0 | Shortest Execution Time | ||

LoLA < GreatSPN | — | — | 13 | Times tool wins | 116 | 20 |

Do not compete | 0 | 0 | 0 | |||

Error detected | 0 | 0 | 0 | |||

Cannot Compute + Time-out | 0 | 104 | 3 |

On the chart below, denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than GreatSPN,
denote cases where LoLA
computed less values than GreatSPN,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and
denote the cases where at least one tool stated it could not compute a result or timed-out.

LoLA wins when points are below the diagonal, GreatSPN wins when points are above the diagonal.

# LoLA versus Irma.full

Some statistics are displayed below, based on 278 runs (139 for LoLA and 139 for Irma.full, so there are 139 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to Irma.full are shown (you may click on one graph to enlarge it).

Statistics on the executions | ||||||

LoLA | Irma.full | Both tools | LoLA | Irma.full | ||

All computed OK | 136 | 0 | 0 | Smallest Memory Footprint | ||

LoLA = Irma.full | — | — | 0 | Times tool wins | 136 | 0 |

LoLA > Irma.full | — | — | 0 | Shortest Execution Time | ||

LoLA < Irma.full | — | — | 0 | Times tool wins | 136 | 0 |

Do not compete | 0 | 0 | 0 | |||

Error detected | 0 | 0 | 0 | |||

Cannot Compute + Time-out | 0 | 136 | 3 |

On the chart below, denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than Irma.full,
denote cases where LoLA
computed less values than Irma.full,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and
denote the cases where at least one tool stated it could not compute a result or timed-out.

LoLA wins when points are below the diagonal, Irma.full wins when points are above the diagonal.

# LoLA versus Irma.struct

Some statistics are displayed below, based on 278 runs (139 for LoLA and 139 for Irma.struct, so there are 139 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to Irma.struct are shown (you may click on one graph to enlarge it).

Statistics on the executions | ||||||

LoLA | Irma.struct | Both tools | LoLA | Irma.struct | ||

All computed OK | 136 | 0 | 0 | Smallest Memory Footprint | ||

LoLA = Irma.struct | — | — | 0 | Times tool wins | 136 | 0 |

LoLA > Irma.struct | — | — | 0 | Shortest Execution Time | ||

LoLA < Irma.struct | — | — | 0 | Times tool wins | 136 | 0 |

Do not compete | 0 | 0 | 0 | |||

Error detected | 0 | 0 | 0 | |||

Cannot Compute + Time-out | 0 | 136 | 3 |

On the chart below, denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than Irma.struct,
denote cases where LoLA
computed less values than Irma.struct,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and
denote the cases where at least one tool stated it could not compute a result or timed-out.

LoLA wins when points are below the diagonal, Irma.struct wins when points are above the diagonal.