Results 1 to 10 of about 348,999 (338)
Automated Reasoning and Presentation Support for Formalizing Mathematics in Mizar [PDF]
This paper presents a combination of several automated reasoning and proof presentation tools with the Mizar system for formalization of mathematics. The combination forms an online service called MizAR, similar to the SystemOnTPTP service for first-order automated reasoning.
C. Weidenbach+27 more
arxiv +3 more sources
Systematic Verification of the Modal Logic Cube in Isabelle/HOL [PDF]
We present an automated verification of the well-known modal logic cube in Isabelle/HOL, in which we prove the inclusion relations between the cube's logics using automated reasoning tools. Prior work addresses this problem but without restriction to the
Christoph Benzmüller+2 more
doaj +6 more sources
Learning-Assisted Automated Reasoning with Flyspeck [PDF]
The considerable mathematical knowledge encoded by the Flyspeck project is combined with external automated theorem provers (ATPs) and machine-learning premise selection methods trained on the proofs, producing an AI system capable of answering a wide ...
Kaliszyk, Cezary, Urban, Josef
core +15 more sources
Identifying novel drug indications through automated reasoning. [PDF]
With the large amount of pharmacological and biological knowledge available in literature, finding novel drug indications for existing drugs using in silico approaches has become increasingly feasible.
Luis Tari+5 more
doaj +2 more sources
Combined reasoning by automated cooperation [PDF]
AbstractDifferent reasoning systems have different strengths and weaknesses, and often it is useful to combine these systems to gain as much as possible from their strengths and retain as little as possible from their weaknesses. Of particular interest is the integration of first-order and higher-order techniques.
Christoph Benzmüller+3 more
openalex +3 more sources
Exploring Steinitz-Rademacher polyhedra: A challenge for automated reasoning tools [PDF]
This note reports on some experiments, using a handful of standard automated reasoning tools, for exploring Steinitz-Rademacher polyhedra, which are models of a certain first-order theory of incidence structures. This theory and its models, even simple ones, presents significant, geometrically fascinating challenges for automated reasoning tools.
Jesse Alama
arxiv +3 more sources
Automated Reasoning over Deontic Action Logics with Finite Vocabularies [PDF]
In this paper we investigate further the tableaux system for a deontic action logic we presented in previous work. This tableaux system uses atoms (of a given boolean algebra of action terms) as labels of formulae, this allows us to embrace parallel ...
Pablo F. Castro, T. S. E. Maibaum
openalex +4 more sources
Goals and Benchmarks for Automated Map Reasoning
AbstractTarski–Givant’s map calculus is briefly reviewed, and a plan of research is outlined aimed at investigating applications of this ground equational formalism in the theorem-proving field. The main goal is to create synergy between first-order predicate calculus and the map calculus.
Andrea Formisano+2 more
openalex +6 more sources
Automated reasoning for proving non-orderability of groups [PDF]
We demonstrate how a generic automated theorem prover can be applied to establish the non-orderability of groups. Our approach incorporates various tools such as positive cones, torsions, generalised torsions and cofinal elements.
Alexei Lisitsa+2 more
arxiv +3 more sources
Automated reasoning-alternative methods [PDF]
Our main goal is to describe a potential usage of the interpretation method (i.e. formal representation of one first order theory into another) together with quantifier elimination procedures developed in the GIS.
Perović Aleksandar+3 more
doaj +2 more sources