# Exercise Files

The Lambda Calculator

These documents provide some basic exercises to get you started. Just download any of the files above (or copy and save the text to a blank text file of your choosing). Then run the Lambda Calculator, select Open from the Menu Bar, and open the exercise file you saved.

If you are an instructor, email us, and we will be happy to send you more exercise files. And if you write exercise files yourself, please consider sending them to us so we can share them here.

## Basic Examples

File Description
π Examples of 'semantic types' and 'lambda conversion' exercises
π Examples of bottom-up tree derivation exercises
π Examples of using bottom-up tree derivations with generalized
quantifiers (including set notation)

## Exercises from Heim and Kratzer

These files recreate the exercises from Heim and Kratzer's Semantics in Generative Grammar:

File Description
π Ch. 3 -- Semantics and Syntax
π Ch. 4 -- More of English: Nonverbal Predicates, Modifiers,
Definite Descriptions
π Ch. 5 -- Relative Clauses, Variables, Variable Binding
π Ch. 6 -- Quantifiers: Their Semantic Type
π Ch. 7 -- Quantification and Grammar
π Ch. 8 -- Syntactic and Semantic Constraints on Quantifier Movement

## More Fragments for Natural Language Semantics

File Description
π Composition with variable types
π Companion file to Beck 2010 (S&P), Quantifiers in Than-Clauses,
doi:10.3765/sp.3.1
π Champollion 2010 - Quantification and negation in event semantics
π Lucas Champollion's dissertation proposal, Jan 19, 2009
π Companion file to "Chinese dou and cumulative quantification"
(Yanyan Sui and Lucas Champollion, MACSIM poster presentation 2010)
--- Lucas Champollion, Apr 6 2010
π Implementation of Gronn and von Stechow 2009
π Martin Hackl thesis
π Presentation on the lexical semantics of "believe" using a doxastic
alternative relation - (c) 2009 Mats Rooth
π Kennedy 97 thesis (without the chapter on degrees-as-extents)
π Angelika Kratzer, Ch. 2 of The Event Argument and the Semantics
of Verbs
π Landman 2000, Ch. 2
π Landman 2000, Ch. 5
π Landman 2000, Ch. 6
π Cecile Meier, Embedded definites. In R. van Rooy, ed.,
Proceedings of the Fourteenth Amsterdam Colloquium, 163β168.
π Exercise on quantifiers in subject and object position
π Problem set on reflexivization, event semantics, and relative clauses
π Stechow Ealing 2008 handout
π A. von Stechow. Temporal prepositional phrases with quantifiers:
Some additions to Pratt and Francez.
Linguistics and Philosophy, 25:755β800, 2002
π Variable-free semantics, Jacobson 1999, Jacobson 2000,
Kubota and Uegaki 2011