Research has consistently demonstrated a negative and significant relationship between occupational feminization and wages. This has traditionally been attributed to societal mechanisms undervaluing the work mainly performed by women. More recently, empirical evidence from the US and Europe has supported theories based on the concept of specialized human capital. We examine whether lower wages ...

This paper is concerned with formalizations and veriications in type theory that are abstracted with respect to a large class of datatypes; i.e polytypic formalizations. The main advantage of these developments are that they can not only be used to polytypically deene functions but also to formally state polytypic theorems and to interactively develop polytypic proofs using existing proof edito...

The study of topological quantum field theories increasingly relies upon concepts from higher-dimensional algebra such as n-categories and n-vector spaces. We review progress towards a definition of n-category suited for this purpose, and outline a program in which n-dimensional TQFTs are to be described as n-category representations. First we describe a ‘suspension’ operation on ncategories, a...

We present two case studies in formal reasoning about untyped λ-calculus in Coq, using both first-order and higher-order abstract syntax. In the first case, we prove the equivalence of three definitions of α-equivalence; in the second, we focus on properties of substitution. In both cases, we deal with contexts, which are rendered by means of higher-order terms (functions) in the metalanguage. ...

Consider the much-discussed case of the distracted driver, who is alleged to successfully navigate his car for miles despite being completely oblivious to his visual states. Perhaps he is deeply engrossed in the music playing over the radio or in philosophical reflection, and as a result he goes about unaware of the scene unfolding before him on the road. That the distracted driver has visual e...

Both syntax-phonology and syntax-semantics interfaces in Higher Order Grammar (HOG) are expressed as axiomatic theories in higher-order logic (HOL), i.e. a language is defined entirely in terms of provability in the single logical system. An important implication of this elegant architecture is that the meaning of a valid expression turns out to be represented not by a single, nor even by a few...