Lambda calculus was developed as an alternative to the set theory and logic that dominated the mathematical scene at the time. Church wanted to find a simpler and more expressive way to represent ...

This dissertation presents an elementary model of distributed programming, studies this model as a process calculus, and uses this model as the core of a programming language. The join calculus is a ...

Interaction Calculus The Interaction Calculus (IC) is a minimal programming language and model of computation obtained by "completing" the affine Lambda Calculus in a way that matches perfectly ...

Lambda calculus is a way of expressing computation using only functions and variables. It was invented by Alonzo Church in the 1930s as a way of studying the foundations of logic and mathematics. A ...

Abstract: We propose, and axiomatize, an extended version of the situation calculus [12] for temporal reasoning in a logic programming framework. This extended language provides for a linear temporal ...

For the last few lectures, we've been studing the semantics of IMP, a fairly simple imperative language we created because it roughly emulated what we think a "normal" language looks like—it has ...

Book Abstract: Sir Isaac Newton, one of the greatest scientists and mathematicians of all time, introduced the notion of a vector to define the existence of gravitational forces, the motion of the ...

This is an experiment in vibe coding. Claude Sonnet 4.5 was given the paper: "The Verse Calculus: A Core Calculus for Deterministic Functional Logic Programming" and asked to design an implementation, ...

How does one become an engineer? It is a question poised by many curious minds wondering how to take a step onto the path of engineering. The rite of passage in becoming an engineer must be earned by ...