Minimal Type Theory (MTT) shows exactly how all of the constituent parts of an expression relate to each other (in 2D space) when this expression is formalized using a directed acyclic graph (DAG). This provides substantially greater expressiveness than the 1D space of FOPL syntax. The increase in expressiveness over other formal systems of logic shows the Pathological Self-Reference Error of expressions previously considered to be sentences of formal systems. MTT shows that these expressions were never truth bearers, thus never sentences of any formal logic system
AbstractUnlike sets of definite Horn clauses, logic programs with disjunctions of atoms in clause he...
We consider an extensional version, called qmTT, of the intensional Minimal Type Theory mTT, introdu...
Then what? Explain that MTTs provide Full-scale powerful alternative to Montague semantics Advanta...
Minimal Type Theory (MTT) shows exactly how all of the constituent parts of an expression relate to ...
Minimal Type Theory (MTT) is based on type theory in that it is agnostic about Predicate Logic level...
This is the formal YACC BNF specification for Minimal Type Theory (MTT). MTT was created by augment...
We define a shallow embedding of logical proof-irrelevant Pure Type Systems (piPTSs) into minimal fi...
We build a Kleene realizability semantics for the two-level Minimalist Foundation MF, ideated by Mai...
Church’s type theory, aka simple type theory, is a formal logical language which includes classical ...
Formal semantics based on Modern Type Theories (MTTs) provides us with not only a viable alternative...
We provide techniques to integrate resolution logic with equality in type theory. The results may be...
Abstract. In this talk, we contend that, for NLs, the divide between model-theoretic semantics and p...
AbstractWe study an extension of the second-order calculus of bounded quantification, System F⩽, wit...
AbstractUnlike sets of definite Horn clauses, logic programs with disjunctions of atoms in clause he...
We consider an extensional version, called qmTT, of the intensional Minimal Type Theory mTT, introdu...
Then what? Explain that MTTs provide Full-scale powerful alternative to Montague semantics Advanta...
Minimal Type Theory (MTT) shows exactly how all of the constituent parts of an expression relate to ...
Minimal Type Theory (MTT) is based on type theory in that it is agnostic about Predicate Logic level...
This is the formal YACC BNF specification for Minimal Type Theory (MTT). MTT was created by augment...
We define a shallow embedding of logical proof-irrelevant Pure Type Systems (piPTSs) into minimal fi...
We build a Kleene realizability semantics for the two-level Minimalist Foundation MF, ideated by Mai...
Church’s type theory, aka simple type theory, is a formal logical language which includes classical ...
Formal semantics based on Modern Type Theories (MTTs) provides us with not only a viable alternative...
We provide techniques to integrate resolution logic with equality in type theory. The results may be...
Abstract. In this talk, we contend that, for NLs, the divide between model-theoretic semantics and p...
AbstractWe study an extension of the second-order calculus of bounded quantification, System F⩽, wit...
AbstractUnlike sets of definite Horn clauses, logic programs with disjunctions of atoms in clause he...
We consider an extensional version, called qmTT, of the intensional Minimal Type Theory mTT, introdu...
Then what? Explain that MTTs provide Full-scale powerful alternative to Montague semantics Advanta...