# Introduction

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

The next sections will show chart comparing performances in termsof 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 whileothers 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 ITS-Tools

Some statistics are displayed below, based on 2378 runs (1189 for LoLa and 1189 for ITS-Tools, so there are 1189 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 execution | ||||||

LoLa | ITS-Tools | Both tools | LoLa | ITS-Tools | ||

Computed OK | 478 | 26 | 344 | Smallest Memory Footprint | ||

Do not compete | 337 | 0 | 0 | Times tool wins | 657 | 191 |

Error detected | 26 | 16 | 0 | Shortest Execution Time | ||

Cannot Compute + Time-out | 1 | 800 | 3 | Times tool wins | 712 | 136 |

On the chart below, denote cases where
the two tools did computed a result without error,
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 versus LTSMin

Some statistics are displayed below, based on 2378 runs (1189 for LoLa and 1189 for LTSMin, so there are 1189 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 execution | ||||||

LoLa | LTSMin | Both tools | LoLa | LTSMin | ||

Computed OK | 1 | 30 | 821 | Smallest Memory Footprint | ||

Do not compete | 0 | 0 | 337 | Times tool wins | 401 | 451 |

Error detected | 26 | 1 | 0 | Shortest Execution Time | ||

Cannot Compute + Time-out | 4 | 0 | 0 | Times tool wins | 206 | 646 |

On the chart below, denote cases where
the two tools did computed a result without error,
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 versus PeCan

Some statistics are displayed below, based on 2378 runs (1189 for LoLa and 1189 for PeCan, so there are 1189 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLa to PeCan are shown (you may click on one graph to enlarge it).

Statistics on the execution | ||||||

LoLa | PeCan | Both tools | LoLa | PeCan | ||

Computed OK | 247 | 22 | 575 | Smallest Memory Footprint | ||

Do not compete | 0 | 0 | 337 | Times tool wins | 455 | 389 |

Error detected | 20 | 26 | 6 | Shortest Execution Time | ||

Cannot Compute + Time-out | 2 | 221 | 2 | Times tool wins | 425 | 419 |

On the chart below, denote cases where
the two tools did computed a result without error,
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.