In this paper we study the idea of theories with containers, like sets, pairs, sequences. We provide a modest framework to study such theories. We prove two concrete results. Firs...
The theory of arrays, introduced by McCarthy in his seminal paper “Toward a mathematical science of computation”, is central to Computer Science. Unfortunately, the theory alo...
The notions of burden of proof and presumption are central to law, but as noted in McCormick on Evidence, they are also the slipperiest of any of the family of legal terms employe...
In this paper a theory for the synthesis of geometric concepts is presented. The theory is focused on a constructive process that synthesizes a function in the geometric domain re...
This paper presents a theory that supports commonsense, qualitative reasoning about the flow of liquid around slowly moving solid objects; specifically, inferring that liquid can ...
We present various results of the last twenty years converging towards a homotopical theory of computation. This new theory is based on two crucial notions : polygraphs (introduce...
This theory on semi-equivalence r e l a t i o n s is an important and useful tool for i n v e s t i g a t i n g c l a s s i f i c a t i o n , pattern r e c o g n i t i o n , p o l...
We have developed a theory of sharing which captures the behaviour of programs with respect to shared data into the framework of process algebra. The core theory can describe prog...
The Dempster-Shafer theory gives a solid basis for reasoning applications characterized by uncertainty. A key feature of the theory is that propositions are represented as subsets...
This paper presents a testing theory that is parameterised with assumptions about the way implementations communicate with their environment. In this way some existing testing the...