### Table 8: Results for the Mizar boolean properties of sets.

"... In PAGE 13: ... The system was rather effective for reducing the number of processed clauses required to prove these set of conjectures. Table8 shows the summary of achieved results. For each proof measure the initial and the final cost of the proofs is shown.... ..."

### Table 1: Sample of titles from Mizar library. The development of the Mizar library may be perceived as an experiment in the sociology of mathematics. The acceptance criteria are very liberal: every submitted paper that is accepted by the Mizar processor is included into the library. There are some e orts towards having automated reviewers (that looks, for example, for repeated theorems or trivial ones). There is a collection of programs called enhancers and improvers that try to automatically meliorate the submitted articles. The melioration makes changes in the submitted articles, that is, replaces a proof by a one step inference referencing a number of propositions, or replaces a sequence 7

1992

Cited by 61

### Table 2: Top 10 theorems of Mizar library.

1992

"... In PAGE 8: ... This was the fate of proposition TARSKI:1 which stated that everything was a set, see Appendix A. Table2 contains the list of the 10 most frequently quoted theorems.... ..."

Cited by 61

### Table 2: Results for checkers.

1997

"... In PAGE 8: ...Table 2: Results for checkers. Table2 show that we do obtain speedups, but not as good as with the 15-puzzle. The last column shows that we su er from a substan- tial search overhead; on 8 processors 91% more evaluations are performed than on 1 proces- sor.... ..."

Cited by 5

### lable. Proof:

2000

Cited by 1

### Table 2. Currently implemented requirements (Mizar ver. 7.8.03, MML ver. 4.76.959)

### Table 4: Runtimes of the model checker

1998

Cited by 2

### Table I. Statistics for the model checker

in Utilizing Symmetry when Model Checking under Fairness Assumptions: An Automata-theoretic Approach

1981

Cited by 1

### Table I. Statistics for the model checker

in Utilizing Symmetry when Model Checking under Fairness Assumptions: An Automata-theoretic Approach

1981

Cited by 1