Lean is an automatic and interactive theorem prover. It can be used to create specifications, build mathematical libraries, and solve constraints. In this tutorial, we introduce basic concepts, the ...

This is a preview. Log in through your library . Journal Information The Journal of Symbolic Logic (JSL) was founded in 1936 and it has become the leading research journal in the field. It is issued ...

Natural Deduction for Propositional Logic Reflecting on the arguments in the previous chapter, we see that, intuitively speaking, some inferences are valid and some or not. For example, if, in a chain ...

We give a constructive proof of McNaughton's theorem stating that every piecewise linear function with integral coefficients is representable by some sentence in the infinite-valued calculus of ...

Justification logic extends traditional modal frameworks by introducing explicit representations of evidential support, thereby refining our understanding of epistemic reasoning. In contrast to ...

Abstract: This paper is focused on translating the modalities of fundamental temporal logical systems into the language of Transparent Intensional Logic, which represents a very expressive methodology ...

WHEN the brilliant French mathematician Henri Poincaré was not actually doing maths, he liked to think about the nature of mathematical creativity. Logic, he felt, was important, but it was not enough ...