In Mizar, unlike in most other proof assistants, the types are not part of the foundations of the system. Mizar is based on untyped set theory, which means that in Mizar expression...
Automated software verification has made great progress recently, and a key enabler of this progress has been the advances in efficient, automated decision procedures suitable fo...
Zvonimir Rakamaric, Roberto Bruttomesso, Alan J. H...
Automata on infinite objects were the key to the solution of several fundamental decision problems in mathematics and logic. Today, automata on infinite objects are used for form...
A game semantics of the (−−∗, →)-fragment of the logic of bunched implications, BI, is presented. To date, categorical models of BI have been restricted to two kinds: funct...
The retrieval problem is one of the main reasoning tasks for knowledge base systems. Given a knowledge base K and a concept C, the retrieval problem consists of finding all indivi...