
ML
 Referenced in 490 articles
[sw01218]
 such as in compiler writing, automated theorem proving and formal verification. (wikipedia...

TPTP
 Referenced in 341 articles
[sw04143]
 library of test problems for automated theorem proving (ATP) systems. The TPTP supplies...

OTTER
 Referenced in 301 articles
[sw02904]
 deduction system Otter is designed to prove theorems stated in firstorder logic with equality...

ETPS
 Referenced in 149 articles
[sw06302]
 ETPS are, respectively, the Theorem Proving System and the Educational Theorem Proving System. The former ... contains only commands relevant to proving theorems interactively. TPS and ETPS run in Common Lisp ... under Windows. Potential applications of automated theorem proving include hardware and software verification, partial automation ... intelligence. TPS can be used to prove theorems of first and higherorder logic interactively...

HOL
 Referenced in 455 articles
[sw05492]
 programming environment in which theorems can be proved and proof tools implemented. Builtin decision...

Isar
 Referenced in 134 articles
[sw04599]
 Theorem proving system supporting both interactive proof development and some degree of automation have become ... stateoftheart interactive theorem proving systems and an appropriate level of abstraction ... Isar/VM interpreter. Compared to existing declarative theorem proving systems (like Mizar), Isar avoids several shortcomings ... into the Isabelle/Pure metalogic implementation. Theories, theorems, proof procedures etc. may be used interchangeably...

SMTLIB
 Referenced in 160 articles
[sw04103]
 TPTP library has done for theorem proving, or the SATLIB library has done initially...

LCF
 Referenced in 151 articles
[sw08360]
 invent the LCFapproach to theorem proving, but he also designed the ML programming language...

VAMPIRE
 Referenced in 206 articles
[sw02918]
 result to the kernel. When a theorem is proved, the system produces a verifiable proof...

OBJ3
 Referenced in 125 articles
[sw05370]
 software design and specification, rapid prototyping, theorem proving, user interface design, and hardware verification, among...

TPS
 Referenced in 68 articles
[sw00973]
 ETPS are, respectively, the Theorem Proving System and the Educational Theorem Proving System. The former ... contains only commands relevant to proving theorems interactively. TPS and ETPS run in Common Lisp ... under Windows. Potential applications of automated theorem proving include hardware and software verification, partial automation ... intelligence. TPS can be used to prove theorems of first and higherorder logic interactively...

UNITY
 Referenced in 170 articles
[sw13461]
 model should obey and prove them as theorems using the formal specification. The methodology...

MaLARea
 Referenced in 40 articles
[sw10278]
 system works in cycles of theorem proving followed by machine learning from successful proofs, using ... available axioms for the next theorem proving cycle. Although the metasystem is quite simple...

Gandalf
 Referenced in 33 articles
[sw10133]
 Gandalf is an automated theorem proving (ATP) system. It proves theorems formulated in logic. Since ... systems such as Gandalf can prove theorems in mathematics and verify complex systems such...

MPTP 0.2
 Referenced in 42 articles
[sw02589]
 version of the Mizar Problems for Theorem Proving (MPTP) system and first experimental results obtained ... available to current firstorder automated theorem provers (ATPs) (and vice versa) and to boost ... already complete. About every fifth nonarithmetical theorem is proved in a fully autonomous mode...

Abella
 Referenced in 45 articles
[sw09461]
 Abella Interactive Theorem Prover (System Description). Abella [3] is an interactive system for reasoning about ... other things, Abella has been used to prove normalizability properties of the λcalculus ... Abella, outlines the style of theorem proving that it supports and finally describes some...

Z/EVES
 Referenced in 41 articles
[sw10262]
 specifications in CZT with theorem proving and verification capabilities. Z/EVES Eclipse provides a modern environment...

HR
 Referenced in 29 articles
[sw10392]
 these become theorems if they are proved, nontheorems if disproved. Similar to Zhang ... using the Otter theorem prover to prove conjectures. In domains where Otter and MACE ... effective, HR can produce large numbers of theorems for testing automated theorem provers (ATPs ... generation of lemmas for automated theorem proving, and the production of benchmark theorems...

Daikon
 Referenced in 41 articles
[sw04319]
 predicting incompatibilities in component integration, automating theorem proving, repairing inconsistent data structures, and checking...

OMRS
 Referenced in 39 articles
[sw03359]
 communication of mathematical services in distributed theorem proving and symbolic computation environments...